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Finding the Third Proportional to 492,162 and 703,787

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Solution

The third proportional to 492,162 and 703,787 is: 1,006,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,162 : 703,787 = 703,787 : x
  2. Step 2: Convert to fraction form
    492,162/703,787 = 703,787/x
  3. Step 3: Cross multiply
    492,162x = 703,787 × 703,787
  4. Step 4: Simplify right side
    492,162x = 495,316,141,369
  5. Step 5: Solve for x
    x = 495,316,141,369/492,162
  6. Step 6: Final answer
    x = 1,006,408.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.